On the regularity of the complex Hessian equation

Åhag, Per; Czyż, Rafał

doi:10.1090/proc/16042

On the regularity of the complex Hessian equation
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by Per Åhag and Rafał Czyż PDF

Proc. Amer. Math. Soc. 150 (2022), 5311-5320 Request permission

Abstract:

This note aims to investigate the regularity of a solution to the Dirichlet problem for the complex Hessian equation, which has a density of the $m$-Hessian measure that belongs to $L^q$, for $q\leq \frac nm$.

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